| Issue |
EPJ Web Conf.
Volume 224, 2019
IV International Conference “Modeling of Nonlinear Processes and Systems” (MNPS-2019)
|
|
|---|---|---|
| Article Number | 01002 | |
| Number of page(s) | 4 | |
| Section | Mathematical Methods in Physics | |
| DOI | https://doi.org/10.1051/epjconf/201922401002 | |
| Published online | 09 December 2019 | |
https://doi.org/10.1051/epjconf/201922401002
A Flow in a Thin Plastic Layer: Generalizations of the Prandtl’s Problem
1
Moscow State University of Humanities and Economics, RU-107150 Moscow, Russia
2
Moscow State Technological University “STANKIN”, RU-127055, Moscow, Russia
* e-mail: vkadymov@yandex.ru
Published online: 9 December 2019
The analytical solutions of various generalizations of the classical L.Prandtl’s problem are of great interest in studying the problem of straightening plates using uniaxial stretching beyond the elastic limit. The straightening by stretching allows obtaining a high degree of flatness of thin wide strips and sheets of high-strength steels and special alloys, while the straightening by other methods does not provide satisfactory results. Based on Ilyushin’s theory of flow in a thin plastic layer, generalizations of the classical Prandtl’s problem on plastic strip compression were studied and their solutions were obtained. The planar problem of compression of a plastic strip between two parallel rough planes with accounting for the asymmetry of the conditions on the spreading ends has been solved and the upper estimate of the total compression force of the face-end areas of the plastically stretched strip has been obtained.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.